In this paper, we investigate the consequences of dormancy in the ‘rare mutation’ and ‘large population’ regime of stochastic adaptive dynamics. Starting from an individual-based micro-model, we first derive the Polymorphic Evolution Sequence of the population, based on a previous work by Baar and Bovier (2018). After passing to a second ‘small mutations’ limit, we arrive at the Canonical Equation of Adaptive Dynamics, and state a corresponding criterion for evolutionary branching, extending a previous result of Champagnat and Méléard (2011).

中文翻译：

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休眠对进化分支的影响

在本文中，我们研究了随机适应性动力学的“罕见突变”和“大量种群”状态下休眠的后果。从基于个体的微观模型开始，我们首先基于 Baar 和 Bovier (2018) 的先前工作推导出种群的多态进化序列。在达到第二个“小突变”极限后，我们得出了自适应动力学的正则方程，并提出了相应的进化分支标准，扩展了 Champagnat 和 Méléard (2011) 的先前结果。